Vector Components Homework: Find Vz & Length

AI Thread Summary
To find the z component of the vector resulting from the sum of vectors V1 and V2, the calculation yields Vz = -1.90. For calculating the length of the resulting vector, the discussion suggests using the Pythagorean theorem in three dimensions. The length can be determined by combining the components Vx, Vy, and Vz. The participant expresses confusion about the length calculation but receives guidance to apply the 3D Pythagorean theorem. The conversation highlights the importance of understanding vector addition and length calculation in three-dimensional space.
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Homework Statement



The components of a vector V are often written (Vx, Vy, Vz). What is the z component of a vector which is the sum of the two vectors, V1 and V2, whose components are (2.61, 1.72, 0.00) and (3.84, -4.54, -1.90)?

b) Calculate the length of this vector.

Homework Equations


The Attempt at a Solution



Okay so for part A, I got -1.90 (vz1 + vz2) and that is correct.

Part B? I don't understand how to do it.

Thanks for the help!
 
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For part B, think about Pythagorus...in 3D.
 
Got it.. Thanks!
 
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